Repeated decimal, part 3

0.0009182736455463728191=1N0.\overline{0009182736455463728191}=\frac{1}{N}

Given that NN is a 4-digit integer, find NN.

Note: The repeated digits are from 00, 09, 18, ..., 81,(those multiple 9), followed by 91, the period is 22.

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